How to Do Percentage Calculations? (+FREE Worksheet!)

Watch this practice video for additional examples and reinforcement:

Related Topics

• How to Find Percent of Increase and Decrease
• How to Solve Percent Problems
• How to Find Discount, Tax, and Tip
• How to Solve Simple Interest Problems

Step by step guide to solving percentage problems

• Percent is a ratio of a number and (100). It always has the same denominator, (100). The percent symbol is (%).
• Percent is another way to write decimals or fractions. For example:
  (40%=0.40=frac{40}{100}=frac{2}{5})
• Use the following formula to find part, whole, or percent:
  (color{blue}{part =frac{percent}{100} × whole })

Percentage Calculations For education statistics and research

Percentage Calculations, Example 1:

What is (15%) of (50)?

Solution:

Use the this formula: (color{ blue }{part =frac{percent}{100} × whole }).
(part) (=frac{15}{100} × 50 →) (part) (=frac{15 × 50}{100}→) (part) (=frac{75}{10}→) (part) (=7.5 )

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Percentage Calculations, Example 2:

What is (30%) of (35)?

Solution:

Use the this formula: (color{ blue }{part =frac{percent}{100} × whole }).
(part) (=frac{30}{100} × 35 →) (part) (=frac{30 × 35}{100}→) (part) (=frac{105}{10}→) (part) (=10.5 )

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Percentage Calculations, Example 3:

What is (10%) of (45)?

Solution:

Use the this formula: (color{ blue }{part =frac{percent}{100} × whole }).
(part) (=frac{10}{100}×45 →part)(=frac{1}{10}×45)→(part) (=frac{45}{10}→) (part) (=4.5)

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Percentage Calculations, Example 4:

What is (15%) of (24)?

Solution:

Use the percent formula: (color{ blue }{part =frac{percent}{100} × whole }).
(part) (=frac{15}{100}×24 →) (part) (=frac{15 × 24}{100})→ (part) (=frac{360}{100} →) (part) (=3.6 )

Exercises for Doing Percentage Calculations

Percentage Calculations

Calculate the percentages.

1. (color{blue}{50% of 25})
2. (color{blue}{ 80% of 15 })
3. (color{blue}{ 30% of 34 })
4. (color{blue}{ 70% of 45 })
5. (color{blue}{ 10% of 0 })
6. (color{blue}{ 80% of 22 })

Download Percentage Calculations Worksheet

1. (color{blue}{12.5})
2. (color{blue}{12})
3. (color{blue}{10.2})
4. (color{blue}{31.5})
5. (color{blue}{0})
6. (color{blue}{17.6})

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